Least Common Multiple of 97/843, 5876/5973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 97/843, 5876/5973 quickly i.e. 569972/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/843, 5876/5973 is 569972/3.

LCM(97/843, 5876/5973) = 569972/3

LCM of 97/843, 5876/5973

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 97/843,5876/5973

Given numbers are 97/843,5876/5973

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 97,5876

Least Common Multiple of Numerators i.e. LCM of 97,5876 is 569972.

GCF of Denominators means GCF of 843,5973 as per the given fractions.

GCF of 843,5973 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,5876

LCM of Fractions 97/843,5876/5973 is 569972/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 569972

Least Common Multiple of 97,5876 with GCF Formula

Least Common Multiple of 97,5876 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 97,5876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,5876) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(97,5876) x common factors =1 x 1 = 1

LCM(97,5876) = ( 97 × 5876 ) / 1

LCM(97,5876) = 569972 / 1

LCM(97,5876) = 569972


Lets's calculate GCF of 843,5973

3 843, 5973
281, 1991

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569972/3

Therefore the LCM of Fractions 97/843,5876/5973 is 569972/3

Greatest Common Factor of 843,5973 By Matching Biggest Common Factor Method

Greatest Common Factor of 843,5973 By Matching Biggest Common Factor Method

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 5973

List of positive integer factors of 5973 that divides 5973 without a remainder.

1,3,11,33,181,543,1991,5973

Greatest Common Factor

We found the factors 843,5973 . The biggest common factor number is the GCF number.
So the greatest common factor 843,5973 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 97/843, 5876/5973

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 97/843, 5876/5973?

Answer: LCM of Numerators as per given numbers 97/843, 5876/5973 is

LCM of Numerators i.e. for 97,5876 is 569972

GCF of denominators i.e. for 843,5973 is 3.

Thus, LCM of Fractions is 569972/3.Finally, LCM of Fractions for 97/843, 5876/5973 is 569972/3.